Consider the following linear programming problem: minimize the cost 3x1+x2+ 9x3+x4 subject to xi≥0 and x1+ 2x3+x4= 4 x2+x3−x4= 2 Write the Simplex tableau for this problem. Use elimination on the tableau to arrive at a tableau in which columns 1 and 2 comefrom the identity matrix. Which are the basic variables at this step of the Simplex method? What are their values? What is the corresponding cost?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following linear programming problem: minimize the cost 3x1+x2+ 9x3+x4 subject to xi≥0 and

x1+ 2x3+x4= 4

x2+x3−x4= 2

Write the Simplex tableau for this problem.

Use elimination on the tableau to arrive at a tableau in which columns 1 and 2 comefrom the identity matrix.

Which are the basic variables at this step of the Simplex method? What are their values? What is the corresponding cost?

Which variable should be the entering variable on the next step of the Simplex method?Why?

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